Rank two ACM bundles on the double embedding of a quadric surface

被引：0
作者：
Nemoto, Takuya [1 ]
机构：
[1] Waseda Univ, Sch Sci & Engn, Dept Math, Shinjuku Ku, Ohkubo 3-4-1, Tokyo 1698555, Japan
来源：
COMMUNICATIONS IN ALGEBRA | 2022年 / 50卷 / 12期
关键词：
Cohomology; vector bundle; DEL PEZZO THREEFOLD; GEOMETRY;
D O I：
10.1080/00927872.2022.2081698
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we completely classify locally free sheaves epsilon of rank 2 such that h(1)(epsilon(t)) = 0 for t is an element of Z on the double embedding of a smooth quadric surface P (1) x P-1, and prove the existence of them. Geometric properties of the sets of points corresponding to epsilon by Serre correspondence are obtained.
引用
收藏
页码：5096 / 5112
页数：17
相关论文
共 22 条
  • [1] Arbarello E, 2011, GRUNDLEHR MATH WISS, V268, P1, DOI 10.1007/978-3-540-69392-5_1
  • [2] Vector bundles on fano 3-folds without intermediate cohomology
    Arrondo, E
    Costa, L
    [J]. COMMUNICATIONS IN ALGEBRA, 2000, 28 (08) : 3899 - 3911
  • [3] STABLE ULRICH BUNDLES
    Casanellas, Marta
    Hartshorne, Robin
    Geiss, Florian
    Schreyer, Frank-Olaf
    [J]. INTERNATIONAL JOURNAL OF MATHEMATICS, 2012, 23 (08)
  • [4] ACM bundles on cubic surfaces
    Casanellas, Marta
    Hartshorne, Robin
    [J]. JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2011, 13 (03) : 709 - 731
  • [5] Casnati G., 2017, Ann. Univ. Ferrara Sez. VII Sci. Mat., V63, P51
  • [6] Rank two aCM bundles on the del Pezzo fourfold of degree 6 and its general hyperplane section
    Casnati, Gianfranco
    Faenzi, Daniele
    Malaspina, Francesco
    [J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2018, 222 (03) : 585 - 609
  • [7] RANK TWO STABLE ULRICH BUNDLES ON ANTICANONICALLY EMBEDDED SURFACES
    Casnati, Gianfranco
    [J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2017, 95 (01) : 22 - 37
  • [8] Examples of rank two aCM bundles on smooth quartic surfaces in P3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {P}^{3}}$$\end{document}
    Gianfranco Casnati
    Roberto Notari
    [J]. Rendiconti del Circolo Matematico di Palermo Series 2, 2017, 66 (1): : 19 - 41
  • [9] On rank two aCM bundles
    Casnati, Gianfranco
    [J]. COMMUNICATIONS IN ALGEBRA, 2017, 45 (10) : 4139 - 4157
  • [10] Rank two aCM bundles on the del Pezzo threefold of degree 7
    Casnati, Gianfranco
    Filip, Matej
    Malaspina, Francesco
    [J]. REVISTA MATEMATICA COMPLUTENSE, 2017, 30 (01): : 129 - 165
123